F(x) = 12e 1-1, XER
Answers
Answer:
Enter a problem...
Algebra Examples
Popular Problems Algebra Solve for x e^(2x)-12e^x+11=0
e
2
x
−
12
e
x
+
11
=
0
Factor the left side of the equation.
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Rewrite
e
2
x
as
(
e
x
)
2
.
(
e
x
)
2
−
12
e
x
+
11
Let
u
=
e
x
. Substitute
u
for all occurrences of
e
x
.
u
2
−
12
u
+
11
Factor
u
2
−
12
u
+
11
using the AC method.
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(
u
−
11
)
(
u
−
1
)
Replace all occurrences of
u
with
e
x
.
(
e
x
−
11
)
(
e
x
−
1
)
Replace the left side with the factored expression.
(
e
x
−
11
)
(
e
x
−
1
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
e
x
−
11
=
0
e
x
−
1
=
0
Set the first factor equal to
0
and solve.
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x
=
ln
(
11
)
Set the next factor equal to
0
and solve.
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x
=
0
The final solution is all the values that make
(
e
x
−
11
)
(
e
x
−
1
)
=
0
true.
x
=
ln
(
11
)
,
0
The result can be shown in multiple forms.
Exact Form:
x
=
ln
(
11
)
,
0
Decimal Form:
x
=
2.39789527
…
,
0
([)]|√>≥
789÷<≤
456/×∩∪
123-^π∞
0.,+%=
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